Understanding multiplicative relationships: percentages and proportionality

I can manipulate percentages of an amount without a representation.

I can manipulate percentages of an amount with a representation.

I can use a graph to represent a multiplicative relationship and connect to other known representations.

I can use a scaling diagram to represent a multiplicative relationship and connect to other known representations.

I can describe one number as a percentage of another.

I can find a percentage of a quantity using a multiplier.

I can calculate percentage changes (increase).

I can calculate percentage changes (decrease).

I can calculate the original value, given the final value after a stated percentage increase.

I can calculate the original value, given the final value after a stated percentage decrease.

I can find the percentage increase or decrease given start and finish quantities.

I can appreciate the connection between multiplicative relationships and direct proportion.

I can recognise direct proportion graphically and be able to identify features of the graph.

I can recognise direct proportion in a range of contexts, including compound measures.

I can recognise inverse proportion graphically and use inverse proportionality in a range of contexts.

I can use my knowledge of percentages and proportionality to solve problems.